SOLUTION: My homework problem says "Write the sentence as an absolute value inequality, then solve the inequality" given "Half of a number n is at most 5 units from 14 I know the solutions

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Question 996603: My homework problem says "Write the sentence as an absolute value inequality, then solve the inequality" given "Half of a number n is at most 5 units from 14
I know the solutions in 18 is less than or equal to n is less than or equal to 38 but I can not figure out what the absolute value inequality is. I think it has something to do with the absolute value of n/2 and something to do with 14 plus or minus 5. Thank you

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
"Write the sentence as an absolute value inequality, then solve the inequality" given "Half of a number n is at most 5 units from 14.

n%2F2 half the number n;
abs%2814-n%2F2%29, how far from 14 is n%2F2;
abs%2814-n%2F2%29%3C=5, at most five units


This should also work as abs%28n%2F2-14%29%3C=5.
"Eighteen" is not the solution to the inequality.
Can you solve this inequality?


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HINT: You have an inequality; not an equation. Take into account that n%2F2-14 could be non-negative or negative, meaning you need to solve for each case.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

My homework problem says "Write the sentence as an absolute value inequality, then solve the inequality" given "Half of a number n is at most 5 units from 14
I know the solutions in 18 is less than or equal to n is less than or equal to 38 but I can not figure out what the absolute value inequality is. I think it has something to do with the absolute value of n/2 and something to do with 14 plus or minus 5. Thank you
Solution to the inequality: abs%28n%2F2+-+14%29+%3C=+5 is just as you stated: highlight_green%2818+%3C=+n+%3C=+38%29